Module 1 Check Your Understanding Discussion Board Tutorial · Information · Attempts · Attempt # Password Password * Feedback Question 1. Perform the indicated operations and simplify. (5x – 3y)2 a. 25x2 – 30xy + 9y2 b. 25x2 – 9y2 c. 25x2 – 30xy – 9y2 d. 25x2 + 9y2 2. Change to radical form. Do not simplify. a. b. c. d. 3. Reduce the fraction to lowest terms. a. b. c. d. 4. Subtract 2a2 + 6a – 6 from 7a2 – 10a – 7. a. 5a2 – 4a – 13 b. 5a2 – 4a – 1 c. 5a2 – 16a – 1 d. 5a2 – 16a – 13 5. Write the expression in simplified radical form.  a. b. c. d. 6. Evaluate. a. - b. c. 2 d. –2 7. Factor completely, relative to the integers. x2 + 7x + 8x + 56 a. (x – 7)(x – 8) b. (x + 7)(x – 8) c. (x + 1)(x + 56) d. (x + 7)(x + 8) 8. Simplify. (2a–7b2)–5 a. b. c. d. 9. Write the expression in simplified radical form.  a. b. c. d. 10. Factor completely, relative to the integers. 9x2 + 12x + 4 a. (3x + 2)2 b. (3x – 2)(3x + 2) c. (9x + 2)(x + 2) d. (3x + 1 )(3x + 4) 11. Reduce the fraction to lowest terms. a. b. c. d. 12. Add 2x2 – 8x – 5 and 5x2 – 4x – 10. a. 7x2 – 12x – 15 b. 7x2 – 12x + 5 c. 7x2 + 4x – 15 d. 7x2 + 4x + 5 13. Simplify and express your answer using positive exponents only.  a. b. c. m24 d. m11 14. Evaluate the expression if it is a real number.  a. -3 b. -9 c. -27 d. -15 15. Perform the indicated operations and reduce to lowest terms. a. b. c. d. 16. Change to radical form. Do not simplify. a. b. c. d. 17. Evaluate. (–2)–2 a. 1/4 b. 1 c. 2 d. 4 18. Perform the indicated operations and simplify. 5x – 4x[8 – 3(x – 2)] a. 6x2 – 3x b. 12x2 – 51x c. 12x2 + 5x + 6 d. 12x2 + 5x – 6 19. Which of the following is not a polynomial? a. 4x3 + 5x – 1 b. 2x – c. 3xy2 + xy d. 24 20. Evaluate the expression if it is a real number.  a. 32 b. 4 c. 64 d. 8 21. Simplify and express your answer using positive exponents only. -1/x-60 a. x4 b. –x60 c. d. 22. Perform the indicated operations and reduce to lowest terms. a. b. c. d. 23. Write the expression in simplified radical form.  a. b. c. d. 24. Write the expression in simplified radical form.  a. b. c. d. 25. Evaluate. 34 a. 81 b. 120 c. 24 d. 3 26. Factor completely, relative to the integers. 6b4 – 18b3 – 60b2 a. 6b2(b + 2)(b – 5) b. 6b2(b – 2)(b + 5) c. 6(b2 + 2)(b2 – 5) d. b2(2b + 5)(3b + 10) 27. Perform the indicated operations and reduce to lowest terms. a. - b. c. d. 1 28. Factor completely, relative to the integers. 49a2b – b3 a. (7a + b2)(7a – b) b. b(7a + b)(7a – b) c. b(7a – b)2 d. Prime, doesn't factor 29. Simplify and express your answer using positive exponents only. (4w10)(7w6)(2w) a. 13w60 b. 13w17 c. 56w60 d. 56w17 30. Change to rational exponent form. Do not simplify.  a. b. c. d. 31. Evaluate. (–5)4 a. 225 b. 125 c. 625 d. 25 32. Write 6,640,000 in scient ...

1. Module 1 Check Your Understanding
Discussion Board Tutorial
· Information
· Attempts
· Attempt #
Password
Password
*
Feedback
Question
1.

2. Perform the indicated operations and simplify. (5x – 3y)2
a. 25x2 – 30xy + 9y2
b. 25x2 – 9y2
c. 25x2 – 30xy – 9y2
d. 25x2 + 9y2
2.
Change to radical form. Do not simplify.
a.
b.
c.
d.
3.
Reduce the fraction to lowest terms.
a.
b.
c.
d.
4.
Subtract 2a2 + 6a – 6 from 7a2 – 10a – 7.
a. 5a2 – 4a – 13
b. 5a2 – 4a – 1
c. 5a2 – 16a – 1
d. 5a2 – 16a – 13
5.
Write the expression in simplified radical form.
a.
b.
c.
d.
6.

3. Evaluate.
a. -
b.
c. 2
d. –2
7.
Factor completely, relative to the integers. x2 + 7x + 8x + 56
a. (x – 7)(x – 8)
b. (x + 7)(x – 8)
c. (x + 1)(x + 56)
d. (x + 7)(x + 8)
8.
Simplify. (2a–7b2)–5
a.
b.
c.
d.
9.
Write the expression in simplified radical form.
a.
b.
c.
d.
10.
Factor completely, relative to the integers. 9x2 + 12x + 4
a. (3x + 2)2
b. (3x – 2)(3x + 2)
c. (9x + 2)(x + 2)
d. (3x + 1 )(3x + 4)
11.
Reduce the fraction to lowest terms.

4. a.
b.
c.
d.
12.
Add 2x2 – 8x – 5 and 5x2 – 4x – 10.
a. 7x2 – 12x – 15
b. 7x2 – 12x + 5
c. 7x2 + 4x – 15
d. 7x2 + 4x + 5
13.
Simplify and express your answer using positive exponents
only.
a.
b.
c. m24
d. m11
14.
Evaluate the expression if it is a real number.
a. -3
b. -9
c. -27
d. -15
15.
Perform the indicated operations and reduce to lowest terms.
a.
b.
c.
d.

5. 16.
Change to radical form. Do not simplify.
a.
b.
c.
d.
17.
Evaluate. (–2)–2
a. 1/4
b. 1
c. 2
d. 4
18.
Perform the indicated operations and simplify. 5x – 4x[8 – 3(x –
2)]
a. 6x2 – 3x
b. 12x2 – 51x
c. 12x2 + 5x + 6
d. 12x2 + 5x – 6
19.
Which of the following is not a polynomial?
a. 4x3 + 5x – 1
b. 2x –
c. 3xy2 + xy
d. 24
20.
Evaluate the expression if it is a real number.
a. 32
b. 4
c. 64
d. 8

6. 21.
Simplify and express your answer using positive exponents
only. -1/x-60
a. x4
b. –x60
c.
d.
22.
Perform the indicated operations and reduce to lowest terms.
a.
b.
c.
d.
23.
Write the expression in simplified radical form.
a.
b.
c.
d.
24.
Write the expression in simplified radical form.
a.
b.
c.
d.
25.
Evaluate. 34
a. 81
b. 120
c. 24
d. 3

7. 26.
Factor completely, relative to the integers. 6b4 – 18b3 – 60b2
a. 6b2(b + 2)(b – 5)
b. 6b2(b – 2)(b + 5)
c. 6(b2 + 2)(b2 – 5)
d. b2(2b + 5)(3b + 10)
27.
Perform the indicated operations and reduce to lowest terms.
a. -
b.
c.
d. 1
28.
Factor completely, relative to the integers. 49a2b – b3
a. (7a + b2)(7a – b)
b. b(7a + b)(7a – b)
c. b(7a – b)2
d. Prime, doesn't factor
29.
Simplify and express your answer using positive exponents
only. (4w10)(7w6)(2w)
a. 13w60
b. 13w17
c. 56w60
d. 56w17
30.
Change to rational exponent form. Do not simplify.
a.
b.
c.

8. d.
31.
Evaluate. (–5)4
a. 225
b. 125
c. 625
d. 25
32.
Write 6,640,000 in scientific notation.
a. 6.64 x 106
b. 6.64 x 105
c. 66.4 x 106
d. 66.4 x 105
33.
Factor completely, relative to the integers. x2 + 36
a. (x – 6)(x + 6)
b. (x + 1)(x + 36)
c. (x + 6)2
d. Prime
34.
Perform the indicated operations and reduce to lowest form.
Represent any compound fractions as simple fractions reduced
to lowest terms.
a.
b.
c.
d.

9. 0
0
0
0
0
0
S
tart
0
0
0
0
0
Fini
s
h
0
0
0

10. 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

11. 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

12. 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

13. 0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0

14. 0
0
0
0
0
0
0
0
0
0
0
0
0